Download presentation

1
**Concepts and Vocabulary**

Chapter 2 Review Concepts and Vocabulary

2
Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable.

3
A1. independent dependent

4
Q2. A set of points in the xy-plane is the graph of a function if and only if every _?_ line intersects the graph in at most one point.

5
A2. vertical

6
Q3. The set of all images of the elements in the domain of a function is called the _?_.

7
A3. range

8
Q4. True or False: Every relation is a function.

9
A4. False

10
Q5. True or False: The y-intercept of the graph of the function y = f(x), whose domain is all real numbers, is f(0).

11
A5. True

12
Q6. True or False: The independent variable is sometimes referred to as the argument of the function.

13
A6. True

14
Q7. For the graph of the linear function f(x) = mx + b, m is the _?_ and b is the _?_.

15
A7. slope y-intercept

16
Q8. True or False: The correlation coefficient is a measure of the strength of a linear relation between two variables and must lie between -1 and 1, inclusive.

17
A8. True

18
Q9. The average rate of change of a function equals the _?_ of the secant line.

19
A9. slope

20
Q10. A function f is _?_ on an open interval if for any choice of x1 and x2 in the interval, with x1<x2, we have f(x1) < f(x2).

21
A10. increasing

22
Q11. An _?_ function f is one for which f(-x) = f(x) for every x in the domain of f.

23
A11. even

24
Q12. An _?_ function f is one for which f(-x) = -f(x) for every x in the domain of f.

25
A12. odd

26
Q13. True or False: Even functions have graphs that are symmetric with respect to the origin.

27
A13. false

28
Q14. The graph of f(x) = mx + b is decreasing if m is _?_ than zero.

29
A14. less

30
Q15. When functions are defined by more than one equation, they are called _?_ functions.

31
A15. piecewise

32
**The cube function is odd and is increasing on the interval (- ∞, ∞).**

Q16. True or False: The cube function is odd and is increasing on the interval (- ∞, ∞).

33
A16. true

34
Q17. True or False: The domain and range of the reciprocal function are the set of all real numbers.

35
A17. false

36
Q18. Given f(x), then the graph of y = f(x – 2) may be obtained by a(n) _?_ shift of the graph of f a distance of 2 units to the _?_.

37
A18. horizontal right

38
Q19. Given f(x), then the graph of y = f(-x) may be obtained by a reflection about the _?_-axis of the graph of the function y = f(x).

39
A19. y

40
Q20. Given f(x), then the graph of y = 3f(x) may be obtained by a vertical _?_ of the graph of f by a factor of _?_.

41
A20. stretch 3

42
Q21. True or False: The graph of y = - f(x) is the reflection about the x-axis of the graph of y = f(x).

43
A21. true

44
Q22. True or False: To obtain the graph of y = f(x+2) – 3, shift the graph of y = f(x) horizontally to the right 2 units and vertically down 3 units.

45
A22. false

46
Q23. True or False: To obtain the graph of y = f(4x), horizontally compress the graph of y = f(x) by a factor of 4 . That is, divide each x-coordinate on the graph of y = f(x) by 4.

47
A23. true

48
Q24. If the domain of f is all real numbers in the interval [0,7], and the domain of g is all real numbers in the interval [-2,5], then the domain of f + g is all real numbers in the interval _?_.

49
A24. [0,5]

50
Q25. The domain of f/g consists of all real numbers x for which g(x) _?_ 0 that are in the domains of both _?_ and _?_.

51
A25. ≠ f g

52
**If f(x) = x + 1 and g(x) = x³, then _?_ = (x + 1)³ .**

Q26. If f(x) = x + 1 and g(x) = x³, then _?_ = (x + 1)³ .

53
A26. g(f(x))

54
Q27. True or False: f(g(x)) = f(x)· g(x)

55
A27. false

56
Q28. True or False: The domain of (f· g)(x) consists of the numbers x that are in the domains of both f and g.

57
A28. true

58
Q29. True or False: The domain of the composite function (f ◦ g)(x) is the same as the domain of g(x).

59
A29. false

60
**What is the best way to study for a Math test?**

Q30. What is the best way to study for a Math test?

61
A30. Work problems!

Similar presentations

Presentation is loading. Please wait....

OK

3-5 Lines in the coordinate plane M11. B

3-5 Lines in the coordinate plane M11. B

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google